Hidden amplitude zeros from the double-copy map

Journal Article · 18 February 2025 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.111.045019 · OSTI ID:2519727

Bartsch, Christoph ; Brown, Taro V.; Kampf, Karol ; Oktem, Umut ; Paranjape, Shruti; Trnka, Jaroslav

Recently, Arkani-Hamed proposed the existence of zeros in scattering amplitudes in certain quantum field theories including the cubic adjoint scalar theory $\mathrm{Tr}\left({\varphi }^3\right)$ , the $SU\left(N\right)$ nonlinear sigma model and Yang-Mills theory. These hidden zeros are special kinematic points where the amplitude vanishes and factorizes into a product of lower-point amplitudes, similar to factorization near poles. In this paper, we show a close connection between the existence of such zeros and the double-copy map. In fact, compatibility with the Bern-Carrasco-Johansson relations requires the presence of these zeros. We also show that these zeros extend via the Kawai-Lewellen-Tye relations to special Galileon amplitudes and their corrections, evincing that these hidden zeros are also present in permutation-invariant amplitudes. Published by the American Physical Society 2025

• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0009999
• OSTI ID: 2519727
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 4 Vol. 111; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English